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Finding the Fourth Proportional to 42,853.01, 59,142.44 and 25,867.01

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Solution

The fourth proportional to 42,853.01, 59,142.44 and 25,867.01 is: 35,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,853.01 : 59,142.44 = 25,867.01 : x
  2. Step 2: Convert to fraction form
    42,853.01/59,142.44 = 25,867.01/x
  3. Step 3: Cross multiply
    42,853.01x = 59,142.44 × 25,867.01
  4. Step 4: Simplify right side
    42,853.01x = 1,529,837,661.86
  5. Step 5: Solve for x
    x = 1,529,837,661.86/42,853.01
  6. Step 6: Final answer
    x = 35,699.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.